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Finding the Fourth Proportional to 657.63, 984.83 and 451.62

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Solution

The fourth proportional to 657.63, 984.83 and 451.62 is: 676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.63 : 984.83 = 451.62 : x
  2. Step 2: Convert to fraction form
    657.63/984.83 = 451.62/x
  3. Step 3: Cross multiply
    657.63x = 984.83 × 451.62
  4. Step 4: Simplify right side
    657.63x = 444,766.67
  5. Step 5: Solve for x
    x = 444,766.67/657.63
  6. Step 6: Final answer
    x = 676.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.